Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 570: 2

Answer

$7i$

Work Step by Step

Factor the radicand so that one factor is a perfect square while the other factor is $-1$ to obtain: $=\sqrt{49(-1)} \\=\sqrt{7^2(-1)}$ Simplify to obtain: $=7\sqrt{-1}$ RECALL: $\sqrt{-1} = i$ Use the ruile above to obtain: $=7i$
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